800529000 has 128 divisors (see below), whose sum is σ = 2508105600. Its totient is φ = 212582400.

The previous prime is 800528999. The next prime is 800529011. The reversal of 800529000 is 925008.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1040616 + ... + 1041384.

It is an arithmetic number, because the mean of its divisors is an integer number (19594575).

Almost surely, 2^800529000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 800529000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1254052800).

800529000 is an abundant number, since it is smaller than the sum of its proper divisors (1707576600).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

800529000 is a wasteful number, since it uses less digits than its factorization.

800529000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 1126 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 800529000 is about 28293.6211892363. The cubic root of 800529000 is about 928.5223383459.

The spelling of 800529000 in words is "eight hundred million, five hundred twenty-nine thousand".